TSTP Solution File: GRP440-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:30:49 EDT 2024
% Result : Unsatisfiable 5.29s 1.14s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 174 ( 174 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12768,plain,
$false,
inference(subsumption_resolution,[],[f12767,f2283]) ).
fof(f2283,plain,
! [X3,X6,X4,X5] : multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(X6,inverse(multiply(X3,X6)))),X3))) = X4,
inference(superposition,[],[f1665,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f1665,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X3,multiply(multiply(inverse(X3),multiply(X1,inverse(multiply(inverse(X2),X1)))),inverse(X2)))) = X0,
inference(superposition,[],[f795,f1532]) ).
fof(f1532,plain,
! [X3,X0,X4] : multiply(inverse(X0),multiply(X0,multiply(X3,inverse(multiply(inverse(X4),X3))))) = X4,
inference(superposition,[],[f958,f795]) ).
fof(f958,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,multiply(X0,multiply(X3,inverse(multiply(inverse(X5),multiply(X4,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(inverse(X0),X2))))))))))) = X5,
inference(superposition,[],[f795,f795]) ).
fof(f795,plain,
! [X2,X8,X6,X7] : multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(inverse(X2),multiply(X6,X8)))))) = X2,
inference(superposition,[],[f19,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))),X3)),X0)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))),X3)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))) = inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(X3,X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8)))),
inference(superposition,[],[f9,f1]) ).
fof(f12767,plain,
! [X2,X0,X1] : a2 != multiply(a2,multiply(X0,multiply(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,X1)))),X2))),
inference(forward_demodulation,[],[f12725,f9944]) ).
fof(f9944,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f9586,f6615]) ).
fof(f6615,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = inverse(multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(X3))),X2))),X1)))))),multiply(X4,inverse(X4)))),
inference(superposition,[],[f6579,f2124]) ).
fof(f2124,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X2))),X1)))))),X3) = X0,
inference(superposition,[],[f1952,f1532]) ).
fof(f1952,plain,
! [X3,X6,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(multiply(X5,multiply(X6,inverse(multiply(X3,X6)))),X3))) = X5,
inference(superposition,[],[f1647,f1]) ).
fof(f1647,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1)))),inverse(X2)))) = X0,
inference(superposition,[],[f1532,f1532]) ).
fof(f6579,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(multiply(X0,multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f6373,f978]) ).
fof(f978,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X1),multiply(multiply(inverse(inverse(X0)),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)),X4))) = X0,
inference(superposition,[],[f795,f4]) ).
fof(f6373,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(X3),multiply(multiply(inverse(inverse(multiply(X0,multiply(X2,inverse(X2))))),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)))),
inference(superposition,[],[f9,f6046]) ).
fof(f6046,plain,
! [X2,X3,X1] : inverse(inverse(multiply(X1,multiply(X2,inverse(X2))))) = inverse(inverse(multiply(X1,multiply(X3,inverse(X3))))),
inference(superposition,[],[f5929,f5929]) ).
fof(f5929,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = inverse(inverse(multiply(X1,multiply(X0,inverse(X0))))),
inference(superposition,[],[f814,f2164]) ).
fof(f2164,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3)),multiply(X4,multiply(inverse(X4),inverse(X1)))) = X0,
inference(superposition,[],[f1768,f1952]) ).
fof(f1768,plain,
! [X3,X0,X4] : multiply(X3,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X4),X3))))) = X4,
inference(forward_demodulation,[],[f1666,f1665]) ).
fof(f1666,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X4),multiply(X3,multiply(X5,multiply(multiply(inverse(X5),multiply(X1,inverse(multiply(inverse(X2),X1)))),inverse(X2))))))))) = X4,
inference(superposition,[],[f958,f1532]) ).
fof(f814,plain,
! [X3,X8,X6,X7,X4,X5] : inverse(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(X3,X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8))))) = X3,
inference(superposition,[],[f1,f19]) ).
fof(f9586,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(X3))),X2))),X1)))))),multiply(X4,inverse(X4))))) = X0,
inference(superposition,[],[f7894,f2124]) ).
fof(f7894,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(multiply(X0,multiply(X2,inverse(X2))))),
inference(superposition,[],[f5929,f7818]) ).
fof(f7818,plain,
! [X0,X4] : multiply(X0,inverse(X0)) = multiply(X4,inverse(X4)),
inference(forward_demodulation,[],[f7337,f2283]) ).
fof(f7337,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X4,multiply(inverse(X4),multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3)))),
inference(superposition,[],[f7050,f2283]) ).
fof(f7050,plain,
! [X2,X6,X7] : multiply(X7,multiply(inverse(X7),X2)) = multiply(X6,multiply(inverse(X6),X2)),
inference(superposition,[],[f6071,f814]) ).
fof(f6071,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X0)))),
inference(superposition,[],[f5929,f5929]) ).
fof(f12725,plain,
! [X2,X0,X1] : a2 != multiply(a2,inverse(inverse(multiply(X0,multiply(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,X1)))),X2))))),
inference(superposition,[],[f12599,f2283]) ).
fof(f12599,plain,
! [X0] : a2 != multiply(a2,inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f12598,f10729]) ).
fof(f10729,plain,
! [X3,X4] : multiply(inverse(X4),X4) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f10350,f10119]) ).
fof(f10119,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))) = inverse(X3),
inference(superposition,[],[f9944,f1]) ).
fof(f10350,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))),X3) = multiply(inverse(X4),X4),
inference(superposition,[],[f10282,f1]) ).
fof(f10282,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f7818,f9944]) ).
fof(f12598,plain,
! [X0] : a2 != multiply(X0,inverse(multiply(inverse(a2),X0))),
inference(forward_demodulation,[],[f12532,f9944]) ).
fof(f12532,plain,
! [X0] : a2 != multiply(inverse(inverse(X0)),inverse(multiply(inverse(a2),X0))),
inference(superposition,[],[f11090,f3016]) ).
fof(f3016,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X3,inverse(multiply(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X0))),X3)))),X1) = X2,
inference(superposition,[],[f2876,f1768]) ).
fof(f2876,plain,
! [X3,X6,X4,X5] : multiply(multiply(X4,multiply(X5,inverse(multiply(X3,X5)))),multiply(X6,multiply(inverse(X6),X3))) = X4,
inference(superposition,[],[f1814,f1]) ).
fof(f1814,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1)))),multiply(X3,multiply(inverse(X3),inverse(X2)))) = X0,
inference(superposition,[],[f1768,f1532]) ).
fof(f11090,plain,
! [X0,X1] : a2 != multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X0,inverse(X0))))),a2),
inference(forward_demodulation,[],[f11055,f9944]) ).
fof(f11055,plain,
! [X0,X1] : a2 != multiply(multiply(X1,multiply(inverse(X1),inverse(inverse(inverse(multiply(X0,inverse(X0))))))),a2),
inference(superposition,[],[f10989,f7892]) ).
fof(f7892,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))),
inference(superposition,[],[f6071,f7818]) ).
fof(f10989,plain,
! [X3] : a2 != multiply(multiply(inverse(X3),X3),a2),
inference(forward_demodulation,[],[f10959,f10119]) ).
fof(f10959,plain,
! [X2,X3,X0,X1] : a2 != multiply(multiply(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))),X3),a2),
inference(superposition,[],[f10622,f1]) ).
fof(f10622,plain,
! [X0] : a2 != multiply(multiply(X0,inverse(X0)),a2),
inference(superposition,[],[f2,f10282]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 04:30:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (9419)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (9425)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (9421)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (9426)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (9422)WARNING: value z3 for option sas not known
% 0.13/0.37 % (9422)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (9424)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (9427)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.38 % (9420)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.20/0.43 TRYING [4]
% 5.29/1.14 % (9427)First to succeed.
% 5.29/1.14 % (9427)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9419"
% 5.29/1.14 % (9427)Refutation found. Thanks to Tanya!
% 5.29/1.14 % SZS status Unsatisfiable for theBenchmark
% 5.29/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.14 % (9427)------------------------------
% 5.29/1.14 % (9427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.29/1.14 % (9427)Termination reason: Refutation
% 5.29/1.14
% 5.29/1.14 % (9427)Memory used [KB]: 15736
% 5.29/1.14 % (9427)Time elapsed: 0.770 s
% 5.29/1.14 % (9427)Instructions burned: 1642 (million)
% 5.29/1.14 % (9419)Success in time 0.796 s
%------------------------------------------------------------------------------